The Edit Shape tool can be used to manipulate points on editable Shapes.
To select a point(s) click a shape and then either:
click a point.
click + drag to marquee select several points (pre selection highlighting to come).
cmd/ctrl + click to add points to your selection.
double click a point to select all the points on a Shape.
Clicking anywhere outside a Shape will deselect all points.
To move a point simply
click + drag one.
Points can be either corner or bezier points.
To convert a point or points from corner to bezier you can use the Shape > Convert to Bezier Point command. To convert a point or points from bezier to corner you can use the Shape > Convert to Corner Point command.
A quicker way to do this is to simply
alt + click a point (or points) to toggle between bezier and corner points (e.g. a corner will become a bezier and vice versa).
When converting from corner to bezier you can also control the length of the bezier handles by using
alt + click + drag. This will convert a corner point to a bezier point and drag the bezier handles out until you release the mouse.
Where bezier points exist, bezier handles will appear. These handles can exist in two states:
Locked - as you move a handle, the opposing handle also moves in an opposing direction.
Unlocked - each handle can be moved independently of the other.
You can use the Lock/ Unlock Bezier Handle commands under the Shape menu to convert points to either state.
Alternatively, a quicker way to do this on a point by point basis is to
alt + drag a handle. If a bezier handle is locked,
alt + dragging one side of the handle will unlock it. And conversely, if a bezier handle is unlocked,
alt + dragging one side of the handle will lock it.
You can close an open path by simply dragging one end of the path onto the other. As you do, a small circle will appear in the Viewport to indicate the path will be closed.
Snap Angle - determine the angle that any movement will snap to.
Move selected in 1px increments in Local Space.
Move selected in 1px increments in World Space.
Move selected in 5px increments in Local Space.
Move selected in 5px increments in World Space.
Insert a new point along a path.
Convert a bezier point to a corner point (or vice versa).